72198016 has 64 divisors (see below), whose sum is σ = 160392960. Its totient is φ = 32089600.

The previous prime is 72197999. The next prime is 72198029. The reversal of 72198016 is 61089127.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65631 + ... + 66721.

It is an arithmetic number, because the mean of its divisors is an integer number (2506140).

Almost surely, 2^72198016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72198016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80196480).

72198016 is an abundant number, since it is smaller than the sum of its proper divisors (88194944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72198016 is a wasteful number, since it uses less digits than its factorization.

72198016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The square root of 72198016 is about 8496.9415674112. The cubic root of 72198016 is about 416.3977950344.

Subtracting from 72198016 its reverse (61089127), we obtain a square (11108889 = 3333²).

The spelling of 72198016 in words is "seventy-two million, one hundred ninety-eight thousand, sixteen".